Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
![Sum=8+12+10+6+14+x](https://img.qammunity.org/2022/formulas/mathematics/college/ah9b3acxbvr54zsigxmd0anw1utw43frm4.png)
![Sum=50+x](https://img.qammunity.org/2022/formulas/mathematics/college/94q8x8uy6kcw17v8eppgthf64yqylvn29x.png)
We know that, the formula for mean is:
![\text{Mean}=\frac{\text{Sum of all observations}}{\text{Total number of observations}}](https://img.qammunity.org/2022/formulas/mathematics/college/7vytxq3hhdx3yo9b7ea2u83k4qr666sa8o.png)
So, the mean number of points scored per game is:
![\text{Mean}=(50+x)/(6)](https://img.qammunity.org/2022/formulas/mathematics/college/is5t5jdpd5x6fhmsjtybm35pxj9ndtdyy4.png)
It is given that the mean number of points scored per game is 9.
![(50+x)/(6)=9](https://img.qammunity.org/2022/formulas/mathematics/college/roy6ep2s8qwq1ag38org8s1d73wei06pym.png)
![50+x=9* 6](https://img.qammunity.org/2022/formulas/mathematics/college/gfiwixiu8tbo0ws6oh9gtjl034a6ahhsm7.png)
![x=54-50](https://img.qammunity.org/2022/formulas/mathematics/college/49cutalmkunhqlnhos1bdd68i9yb23kw6c.png)
![x=4](https://img.qammunity.org/2022/formulas/mathematics/high-school/lp82zoco0xlpxlhep3s8xzw5somhig1a8c.png)
Therefore, the correct option is A.